Mr Daniels Maths
The Midpoints and perpendicular to a line

Set 1

Set 2

Set 3

Q1) Find the slope of a line perpendicular to \(y = 4x -28\) [ m=-\(\frac{1}{4}\)]

Q1) Workout the equation of the perpendicular line passing through A(2,5) and B(4,17) at point B. [ L1 y = 6x -7 L2 y= -\(\frac{1}{6}\)x +17\(\frac{2}{3}\)]

Q1) Workout the equation of the perpendicular line passing through A(1,7) and B(3,9) at the midpoint of AB [ L1 y = x + 6 (2,8) L2 y= -x +10]

Q2) Find the slope of a line perpendicular to \(y = x + 3\) [ m=-1]

Q2) Workout the equation of the perpendicular line passing through A(2,1) and B(3,8) at point B. [ L1 y = 7x -13 L2 y= -\(\frac{1}{7}\)x +8\(\frac{3}{7}\)]

Q2) Workout the equation of the perpendicular line passing through A(6,4) and B(10,8) at the midpoint of AB [ L1 y = x -2 (8,6) L2 y= -x +14]

Q3) Find the slope of a line perpendicular to \(y = 3x -1\) [ m=-\(\frac{1}{3}\)]

Q3) Workout the equation of the perpendicular line passing through A(2,2) and B(5,29) at point B. [ L1 y = 9x -16 L2 y= -\(\frac{1}{9}\)x +29\(\frac{5}{9}\)]

Q3) Workout the equation of the perpendicular line passing through A(9,9) and B(11,11) at the midpoint of AB [ L1 y = x +0 (10,10) L2 y= -x +20]

Q4) Find the slope of a line perpendicular to \(y = 3x -7\) [ m=-\(\frac{1}{3}\)]

Q4) Workout the equation of the perpendicular line passing through A(7,6) and B(10,9) at point B. [ L1 y = x -1 L2 y= -x +19]

Q4) Workout the equation of the perpendicular line passing through A(4,8) and B(8,20) at the midpoint of AB [ L1 y = 3x -4 (6,14) L2 y= -\(\frac{1}{3}\)x +16]

Q5) Find the slope of a line perpendicular to \(y = x\) [ m=-1]

Q5) Workout the equation of the perpendicular line passing through A(1,4) and B(2,6) at point B. [ L1 y = 2x + 2 L2 y= -\(\frac{1}{2}\)x +7]

Q5) Workout the equation of the perpendicular line passing through A(1,1) and B(5,13) at the midpoint of AB [ L1 y = 3x -2 (3,7) L2 y= -\(\frac{1}{3}\)x +8]

Q6) Find the slope of a line perpendicular to \(y = 3x + 1\) [ m=-\(\frac{1}{3}\)]

Q6) Workout the equation of the perpendicular line passing through A(1,3) and B(4,12) at point B. [ L1 y = 3x +0 L2 y= -\(\frac{1}{3}\)x +13\(\frac{1}{3}\)]

Q6) Workout the equation of the perpendicular line passing through A(4,9) and B(6,11) at the midpoint of AB [ L1 y = x + 5 (5,10) L2 y= -x +15]

Q7) Find the slope of a line perpendicular to \(y = 5x -29\) [ m=-\(\frac{1}{5}\)]

Q7) Workout the equation of the perpendicular line passing through A(7,6) and B(12,51) at point B. [ L1 y = 9x -57 L2 y= -\(\frac{1}{9}\)x +52\(\frac{1}{3}\)]

Q7) Workout the equation of the perpendicular line passing through A(4,3) and B(8,15) at the midpoint of AB [ L1 y = 3x -9 (6,9) L2 y= -\(\frac{1}{3}\)x +11]

Q8) Find the slope of a line perpendicular to \(y = x + 1\) [ m=-1]

Q8) Workout the equation of the perpendicular line passing through A(2,8) and B(6,32) at point B. [ L1 y = 6x -4 L2 y= -\(\frac{1}{6}\)x +33]

Q8) Workout the equation of the perpendicular line passing through A(7,3) and B(11,39) at the midpoint of AB [ L1 y = 9x -60 (9,21) L2 y= -\(\frac{1}{9}\)x +22]

Q9) Find the slope of a line perpendicular to \(y = 4x + 2\) [ m=-\(\frac{1}{4}\)]

Q9) Workout the equation of the perpendicular line passing through A(9,2) and B(12,26) at point B. [ L1 y = 8x -70 L2 y= -\(\frac{1}{8}\)x +27\(\frac{1}{2}\)]

Q9) Workout the equation of the perpendicular line passing through A(1,12) and B(5,24) at the midpoint of AB [ L1 y = 3x + 9 (3,18) L2 y= -\(\frac{1}{3}\)x +19]

Q10) Find the slope of a line perpendicular to \(y = 2x -8\) [ m=-\(\frac{1}{2}\)]

Q10) Workout the equation of the perpendicular line passing through A(2,6) and B(7,31) at point B. [ L1 y = 5x -4 L2 y= -\(\frac{1}{5}\)x +32\(\frac{2}{5}\)]

Q10) Workout the equation of the perpendicular line passing through A(4,1) and B(8,5) at the midpoint of AB [ L1 y = x -3 (6,3) L2 y= -x +9]